SOLUTION: I have a problem that I'm stuck in can you help me solve it? Please show your work so I can understand it. What is missing from the following proof? Given: ab = 1/2 ac, pro

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Question 268880: I have a problem that I'm stuck in can you help me solve it? Please show your work so I can understand it.
What is missing from the following proof?
Given: ab = 1/2 ac, prove b is the midpoint of segment ac
Statements Reason
ab=1/2ac given
2ab=ac multiplication property of equality
ab+ab=ac distributive property
ab+bc=ac __________?___________
ab+ab=ab+bc transitive property of equality
ab=bc subtraction porperty of equality
b is the midpoint of segment ac definition of midpoint
The answer is one of the following four choices:
addition property of equality
subtraction property of equality
transitive property of equality
segment addition postulate
Found 2 solutions by stanbon, drk:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
segment addition property.
Cheers,
Stan H.

Answer by drk(1908) (Show Source):
You can put this solution on YOUR website!
The missing part is "Segment addition property"
ab + bc = ac
These two segments add up to the entire segment